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Finding the Fourth Proportional to 2,460.74, 3,691.10 and 817.44

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Solution

The fourth proportional to 2,460.74, 3,691.10 and 817.44 is: 1,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.74 : 3,691.10 = 817.44 : x
  2. Step 2: Convert to fraction form
    2,460.74/3,691.10 = 817.44/x
  3. Step 3: Cross multiply
    2,460.74x = 3,691.10 × 817.44
  4. Step 4: Simplify right side
    2,460.74x = 3,017,252.78
  5. Step 5: Solve for x
    x = 3,017,252.78/2,460.74
  6. Step 6: Final answer
    x = 1,226.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.